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If the position of an object is in between the principal focus and pole of a concave mirror, then the image formed will be:
real and diminished
virtual and diminished
real and enlarged
virtual, erect and enlarged
virtual, erect and enlarged
When an object is placed between the pole (P) and the principal focus (F) of a concave mirror, the reflected rays appear to diverge behind the mirror. This results in the formation of an image that is virtual, erect, and enlarged, as the image cannot be captured on a screen.
When an object is placed between the pole (P) and the principal focus (F) of a concave mirror, the reflected rays appear to diverge behind the mirror. This results in the formation of an image that is virtual, erect, and enlarged, as the image cannot be captured on a screen.
This is the working principle behind a shaving mirror or a makeup mirror, which allows you to see an enlarged and upright view of your face when held close to the mirror.
P-F-V-E-E (Pole-Focus-Virtual-Erect-Enlarged)
f1тАЛ=v1тАЛ+u1тАЛ тАФ Mirror Formula
m=uтИТvтАЛ=hoтАЛhiтАЛтАЛ тАФ Magnification Formula
The concave mirror follows the laws of reflection. As the object distance u becomes less than the focal length f (тИгuтИг<тИгfтИг), the mirror's magnification m=uтИТvтАЛ becomes positive and greater than 1. This geometry forces the intersection of rays behind the mirror where they seem to originate, creating a magnified virtual image.
Concave mirrors form real images for all positions beyond the focus.
The only case where a concave mirror forms a virtual image is when the object is between P and F.
Magnification m is positive because the image is erect.
Provides a magnified view for close-up inspections.
Useful in optical instruments for gathering and converging light.
Shaving and makeup mirrors
Dentist mirrors
For this specific case, v is positive as the image is formed behind the mirror.
Option A is incorrect as the image is not real.
Option B is incorrect as the image is not diminished.
Option C is incorrect as the image is not real.
D is correct тАФ when an object is placed between the pole and focus, the concave mirror forms a virtual, erect, and enlarged image.
Remember that for all spherical mirrors, 'Virtual' and 'Erect' always go together, while 'Real' and 'Inverted' always go together.
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